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Finding the Fourth Proportional to 6,470.37, 9,697.73 and 4,593.31

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Solution

The fourth proportional to 6,470.37, 9,697.73 and 4,593.31 is: 6,884.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.37 : 9,697.73 = 4,593.31 : x
  2. Step 2: Convert to fraction form
    6,470.37/9,697.73 = 4,593.31/x
  3. Step 3: Cross multiply
    6,470.37x = 9,697.73 × 4,593.31
  4. Step 4: Simplify right side
    6,470.37x = 44,544,632.98
  5. Step 5: Solve for x
    x = 44,544,632.98/6,470.37
  6. Step 6: Final answer
    x = 6,884.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.